PITTSBURGH — A man nicknamed the ‘‘Bucket List Bandit’’ after he allegedly told a Utah bank teller that he had just four months to live pleaded guilty Wednesday to that robbery and 10 other heists in nine other states.

Michael Eugene Brewster, formerly of Pensacola, Fla., faces a likely sentence of between 10 and 14 years in federal prison when he returns for sentencing Aug. 12, according to a plea agreement outlined Wednesday before US District Judge Sean McLaughlin in Erie.

Brewster pleaded guilty to the Sept. 10 Huntingdon National Bank heist in that northwestern Pennsylvania city and a string of 10 prior robberies which began June 21 in Arvada, Colo.

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Brewster has been jailed since his arrest Sept. 13 in Roland, Okla., after he ran a stop sign.